Robust and non‐fragile PID controller design

Abstract

This paper provides a solution to the problem of robustly stabilizing a given interval plant family using P, PI and PID controllers. This solution is derived by combining some recent results on P, PI and PID stabilization of fixed plants with some standard results from the parametric robust control literature. The paper also develops a technique for designing PID controllers which are not only robust with respect to plant parameter perturbations but are also ‘non‐fragile’ in the space of the controller coefficients. Copyright © 2001 John Wiley & Sons, Ltd.

New delay-dependent non-fragile H∞ observer-based control for continuous time-delay systems

“…doi:10.1016/j.ins.2008.08.009 insensitive to some error in gains of feedback control [3]. Design of non-fragile PID control for a given interval plant had been considered in [10]. Non-fragile guaranteed cost control for large-scale time-delay systems had been developed in [17].…”

“…Therefore, under such imperfect knowledge of the mathematical model, seeking to design a robust control such that the system responses can meet desired properties is an important topic in system theory. Hence robust stability and robust stabilization problems for time-delay system have received some attenuation [7,10,14,15].…”

Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems

“…Moreover, the problem of non-fragile control has been an attractive topic in theory analysis and practical implement, which is to design a feedback control that will be insensitive to some error in gains of feedback control [15]. Following this idea, there have been some results on this general topic, see for example [11,[16][17][18][19]. The problem of non-fragile stabilization and H 1 control design for uncertain stochastic time-delay systems was investigated in [11].…”

“…The problem of non-fragile stabilization and H 1 control design for uncertain stochastic time-delay systems was investigated in [11]. In [16], design of non-fragile PID control for a given interval plant had been considered, while in [17], non-fragile state feedback control had been investigated for a class of uncertain neutral systems with time-varying delays both in state and control input. In [18], non-fragile positive real control for a class of uncertain linear neutral time-delay systems had been proposed.…”

Controladores robustos H<FONT FACE=Symbol>¥</FONT> não frágeis

“…Desde então, diversos trabalhos têm sido realizados na tentativa de solucionar o problema proposto em Keel and Bhattacharyya (1997), como por exemplo em Haddad and Corrado (2000), Yang et al (2000), Famularo et al (2000), Yang and Wang (2001) e Ho et al (2001). Nestes artigos, basicamente o queé feitoé formular o problema de robustez do sistema realimentado em termos da perturbação nos parâmetros do controlador e, então, verificar a tolerância a perturbações em relação aos parâmetros da planta.…”